Maths GCSE Paper Revision (Transformations (Enlargement (To find the scale…
Maths GCSE Paper Revision
If a two shapes, (e.g a triangle) are
, it means they are
to one another. They have the same length of sides; same angles. If a shape is identical to another, it has
with that shape.
In this picture, shapes
D and I
to each other, because they are the same size, each have one angle, and have have one side which are the same lengths, therefore are identical.
(also known as a
) is a sequence of numbers in which each term (number) after the first is found by multiplying the previous one by a fixed, non-zero number called the
2, 6, 18, 54
of this sequence is
, because each number is multiplied by three to get the next number in the sequence.
Standard Index Form
Standard Index Form
is also known as
. If in a question you are asked to write something in standard form, it
means to write out the number given as:
a x 10 to a power.
You would usually use index numbers (standard form) to write out a particularly
15, 000, 000
, is basically,
1.5 x 10 x 10 x 10 x 10 x 10 x 10 x 10
, therefore written out in index form, would be
1.5 x 10 to the power of 7
, because 1.5 is being multiplied by
7 lots of ten
If you are asked in a question to break a number down into it's
, or to write the number in prime factors, it means to break a number down using a
into the smallest numbers it is until all the numbers left multiplying each other are
2 x 3 x 2 x 2 = 24
Give an example to show that
(as a whole number) in this equation does not equal a
6n + 1
This question is basically asking you to list some numbers which if were the value of
in the equation above, which
To find the
scale factor of enlargement
, you divide the new length of one side of the triangle, by the old length of the side of the triangle (before it was enlarged)
In this photo, the smaller equilateral triangle has been enlarged by scale factor 3, because the larger equilateral triangle has a side length of 15, so 15 divided by 9 = 15/9, which equals 5/3.
The mirror line is the line which the two shapes are reflected.
Without taking notice of the grid, you write the equation of the line the shapes are reflected, e.g. in this picture, the equation is y = -1, because the mirror line is horizontal going through -1y.
To answer a question which asks you 'what transformation has taken place on this grid' or something similar, you will be given a picture also of the shape, and if it is a rotation you would answer:
degrees at point